Abstract

A direct procedure is developed for the design of two-dimensional asymmetric half-plane recursive digital filters. The desired specification consists of both magnitude and linear phase (i.e. constant group delay). The performance index is specified as a weighted sum of the squared distance on the complex plane between the desired and actual transfer functions at discrete points of the frequency plane. The minimization is performed iteratively using the Davidon-Fletcher and Powell method in which the initial estimate is analytically found by solving a set of linear equations. Three examples are given to illustrate the utility of the proposed procedure.

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